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Finding the Third Proportional to 8,239 and 17,794

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Solution

The third proportional to 8,239 and 17,794 is: 38,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239 : 17,794 = 17,794 : x
  2. Step 2: Convert to fraction form
    8,239/17,794 = 17,794/x
  3. Step 3: Cross multiply
    8,239x = 17,794 × 17,794
  4. Step 4: Simplify right side
    8,239x = 316,626,436
  5. Step 5: Solve for x
    x = 316,626,436/8,239
  6. Step 6: Final answer
    x = 38,430.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.